Poincaré lemma
id:
poincar-lemma-176-632077
title:
Poincaré lemma
text:
In mathematics, the Poincaré lemma gives a sufficient condition for a closed differential form to be exact. Precisely, it states that every closed p-form on an open ball in Rn is exact for p with 1 ≤ p ≤ n. The lemma was introduced by Henri Poincaré in 1886. Especially in calculus, the Poincaré lemma also says that every closed 1-form on a simply connected open subset in R n is exact. In the language of cohomology, the Poincaré lemma says that the k-th de Rham cohomology group of a contractible
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Poincar%C3%A9_lemma
date created:
2004-04-16T11:22:09Z
date modified:
2024-09-03T12:18:26Z
main entity:
{"identifier":"Q18215105","url":"https://www.wikidata.org/entity/Q18215105"}
image:
fields total:
13
integrity:
14